Nonlinear time series analysis
Nonlinear time series analysis
Signal energy-metric approach to stability analysis of linear and non-linear causal systems
AEE'05 Proceedings of the 4th WSEAS international conference on Applications of electrical engineering
Dissipation normal forms and further applications of Lyapunov - Tellegen's principle
ICS'08 Proceedings of the 12th WSEAS international conference on Systems
Physical correctness of systems, state space representations, minimality and dissipativity
ICS'09 Proceedings of the 13th WSEAS international conference on Systems
Physical correctness of system representations based on generalized Tellegen principle
DSP'09 Proceedings of the 16th international conference on Digital Signal Processing
Nonlinearly coupled oscillators and state space energy approach
ICS'10 Proceedings of the 14th WSEAS international conference on Systems: part of the 14th WSEAS CSCC multiconference - Volume I
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The paper deals with structural properties of a class of strictly causal systems. It is shown that a special physically correct internal structure of a given system representation caled dissipation normal form can be derived as a natural consequence of strict causality, dissipativity, minimality and asymptotic stability requirements. A generalization of classic Tellegen's theorem together with bi-orthonormal basis of the state velocity space expressing the signal energy conservation law for abstract system state space representations have been used. It is demonstrated by examples that the resulting structure represents a unifying tool for analysis and synthesis of a relatively general class of linear as well as nonlinear causal systems.