In this short note, we derive dissipative conditions with slack variables for a linear coupled differentialdifference (CDDS) via constructing a Krasovskii functional. The approach can be interpreted as a generalization of the Finsler Lemma approach for standard LTI systems proposed previously in de Oliveira & Skelton (2001). We also show that the proposed slack variables scheme is equivalent to...

The development of any fault-tolerant control solution is based on the strong assumption that fault situations can be accommodated. This paper provides a survey four reachable set techniques to assess recoverability property for constrained linear time invariant (LTI) systems by means ellipsoid, zonotope, polytope and support function representations. These are next applied an angular velocity ...

Kalman-Yakubovich-Popov (KYP) Lemma (also frequently called “positive real lemma”) is a major result of the modern linear system theory. It is a collection of statements related to existence and properties of quadratic storage functions for LTI state space models and quadratic supply rates. The KYP Lemma is used in the derivation of H2 and H-Infinity optimal controllers, Hankel optimal reduced ...

OBJECTIVE To evaluate treatment outcomes between stage IIIB cervical cancer with and without lower third of vaginal invasion (LTI) in terms of response to treatment and overall survival (OS). METHODS Matching one patient with LTI for 2 patients without LTI who had completed treatment between 1995 and 2012 were conducted by using treatment modalities (radiation therapy [RT] alone vs. concurren...

is obtained as another special case' In this paper, we formulate continuous time linear fractional shift invariant (LFSI) systems that generalize the well-known linear time invariant (LTI) systems by means of an angle parameter 4. LTI systems are obtained as a special case of LFSl systems for 4 = 0. LFSl systems belong to the large class of time-varying systems. Whereas LTI systems commute with...

We consider two periodically weighted model-matching problems with regard to a discrete-time LTI plant by means of discrete-time linear periodically time-varying (LPTV) control. These two problems are formulated by projection operators and shown to be determined uniquely by corresponding LTI model-matching problems in which new free parameters arise from the periodically time-varying property o...

1. Explain why difference equations result from digital control of analog systems. 2. Obtain the z-transform of a given time sequence and the time sequence corresponding to a function of z. 3. Solve linear time-invariant (LTI) difference equations using the z-transform. 4. Obtain the z-transfer function of an LTI system. 5. Obtain the time response of an LTI system using its transfer function o...

Resilient control systems should efficiently restore control into physical systems not only after the sabotage of themselves, but also after breaking physical systems. To enhance resilience of control systems, and given an originally minimalinput controlled linear-time invariant(LTI) physical system, we address the problem of efficient control recovery into it after removing a known system vert...

Lyapunov exponents and direction elds are used to characterize the time-scales and geometry of general linear time-varying (LTV) systems of di erential equations. Lyapunov exponents are already known to correctly characterize the time-scales present in a general LTV system; they reduce to real parts of eigenvalues when computed for linear time-invariant(LTI) systems and real parts of Floquet ex...

Driven by the current economical needs, developments in process design and control point out that deliberate operation of chemical process requires better models and control designs than what is offered by the traditional Linear Time-Invariant (LTI) framework. In this paper an identification approach based on Linear Parameter-Varying (LPV) models is introduced for process systems which enables ...