On Control Systems Classic Fundamentals Introduction Time, Physical Variables and Systems Systems and Complex Domain Notational Preliminaries Control Systems IO Control Systems ISO Control Systems System Regimes System Regime Meaning Forced and Free Regimes Desired Regime Transfer Function Matrix G(s) On Definitions of G(s) On Importance of G(s) Novel System Fundamental: Full Transfer Function Matrix F(S) Problem Statement Nondegenerate Matrices Nondegenerate and Degenerate Matrices Basic Lemma Full Transfer Function Matrix F(s) General Definitions of F(S) Determination of F(s) in General F(s) of the IO Control System F(s) of the ISO Control System Conclusion: General Form of F(s) Physical Meaning of F(s) Novel Control Theories: Tracking and Trackability Tracking Theory Tracking Generally Tracking versus Stability Perfect Tracking: Characterization Imperfect Tracking: Characterization Trackability Theory Trackability versus Controllability Trackability Definitions Perfect Trackability Conditions Imperfect Trackability Conditions Novel Synthesis of Tracking Control Linear Tracking Control (LITC) Generating Theorem LITC of the IO Plants LITC of the ISO Plants Lyapunov Tracking Control (LTC) Vector Lyapunov Function (VLF) LTC of the IO Plant LTC of the ISO Plant Natural Tracking Control (NTC) Concept of NTC NTC of the IO Plant NTC of the ISO Plant NTC versus LTC General Consideration The IO Plant The ISO Plant Conclusion On F(s) On Tracking and Trackability On Tracking Control Recommendation Appendixes Notation Abbreviations Indexes Letters Names and Symbols Units From IO system to ISO system From ISO system to IO system Proof of Theorem 64 Proof of Theorem 67 Proof of Theorem 72 Proof of Theorem 91 Proof of Lemma 102-Basic Lemma Proof of Theorem 116 Proof of Theorem 142 Proof of Theorem 145 Proof of Theorem 149 Author Index Subject Index Degenerate Matrices Basic Lemma Full Transfer Function Matrix F(s) General Definitions of F(S) Determination of F(s) in General F(s) of the IO Control System F(s) of the ISO Control System Conclusion: General Form of F(s) Physical Meaning of F(s) Novel Control Theories: Tracking and Trackability Tracking Theory Tracking Generally Tracking versus Stability Perfect Tracking: Characterization Imperfect Tracking: Characterization Trackability Theory Trackability versus Controllability Trackability Definitions Perfect Trackability Conditions Imperfect Trackability Conditions Novel Synthesis of Tracking Control Linear Tracking Control (LITC) Generating Theorem LITC of the IO Plants LITC of the ISO Plants Lyapunov Tracking Control (LTC) Vector Lyapunov Function (VLF) LTC of the IO Plant LTC of the ISO Plant Natural Tracking Control (NTC) Concept of NTC NTC of the IO Plant NTC of the ISO Plant NTC versus LTC General Consideration The IO Plant The ISO Plant Conclusion On F(s) On Tracking and Trackability On Tracking Control Recommendation Appendixes Notation Abbreviations Indexes Letters Names and Symbols Units From IO system to ISO system From ISO system to IO system Proof of Theorem 64 Proof of Theorem 67 Proof of Theorem 72 Proof of Theorem 91 Proof of Lemma 102-Basic Lemma Proof of Theorem 116 Proof of Theorem 142 Proof of Theorem 145 Proof of Theorem 149 Author Index Subject Indexacking Control Linear Tracking Control (LITC) Generating Theorem LITC of the IO Plants LITC of the ISO Plants Lyapunov Tracking Control (LTC) Vector Lyapunov Function (VLF) LTC of the IO Plant LTC of the ISO Plant Natural Tracking Control (NTC) Concept of NTC NTC of the IO Plant NTC of the ISO Plant NTC versus LTC General Consideration The IO Plant The ISO Plant Conclusion On F(s) On Tracking and Trackability On Tracking Control Recommendation Appendixes Notation Abbreviations Indexes Letters Names and Symbols Units From IO system to ISO system From ISO system to IO system Proof of Theorem 64 Proof of Theorem 67 Proof of Theorem 72 Proof of Theorem 91 Proof of Lemma 102-Basic Lemma Proof of Theorem 116 Proof of Theorem 142 Proof of Theorem 145 Proof of Theorem 149 Author Index Subject Index> Notation Abbreviations Indexes Letters Names and Symbols Units From IO system to ISO system From ISO system to IO system Proof of Theorem 64 Proof of Theorem 67 Proof of Theorem 72 Proof of Theorem 91 Proof of Lemma 102-Basic Lemma Proof of Theorem 116 Proof of Theorem 142 Proof of Theorem 145 Proof of Theorem 149 Author Index Subject Index.